A Compact Formula for Rotations as Spin Matrix Polynomials

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Фізико-технічні та математичні науки
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Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)
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Symmetry, Integrability and Geometry: Methods and Applications, 2014, том 10
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dc.contributor.author	Curtright, T.L.
dc.contributor.author	Fairlie, D.B.
dc.contributor.author	Zachos, C.K.
dc.date.accessioned	2019-02-10T10:05:29Z
dc.date.available	2019-02-10T10:05:29Z
dc.date.issued	2014
dc.identifier.citation	A Compact Formula for Rotations as Spin Matrix Polynomials / T.L. Curtright, D.B.Fairlie, C.K. Zachos // Symmetry, Integrability and Geometry: Methods and Applications. — 2014. — Т. 10. — Бібліогр.: 17 назв. — англ.	uk_UA
dc.identifier.issn	1815-0659
dc.identifier.other	2010 Mathematics Subject Classification: 15A16; 15A30
dc.identifier.other	DOI:10.3842/SIGMA.2014.084
dc.identifier.uri	http://dspace.nbuv.gov.ua/handle/123456789/146616
dc.description.abstract	Group elements of SU(2) are expressed in closed form as finite polynomials of the Lie algebra generators, for all definite spin representations of the rotation group. The simple explicit result exhibits connections between group theory, combinatorics, and Fourier analysis, especially in the large spin limit. Salient intuitive features of the formula are illustrated and discussed.	uk_UA
dc.description.sponsorship	The submitted manuscript has been created by UChicago Argonne, LLC, Operator of Argonne National Laboratory (Argonne). Argonne, a U.S. Department of Energy Of fice of Science laboratory, is operated under Contract No. DE-AC02-06CH11357. The U.S. Government retains for itself, and others acting on its behalf, a paid-up nonexclusive, irrevocable worldwide license in said article to reproduce, prepare derivative works, distribute copies to the public, and perform publicly and display publicly, by or on behalf of the Government. It was also supported in part by NSF Award PHY-1214521. TLC was also supported in part by a University of Miami Cooper Fellowship. S. Dowker is thanked for bringing ref [12], and whence [5], to our attention. An anonymous referee is especially thanked for bringing [14] and more importantly [13] to our attention.	uk_UA
dc.language.iso	en	uk_UA
dc.publisher	Інститут математики НАН України	uk_UA
dc.relation.ispartof	Symmetry, Integrability and Geometry: Methods and Applications
dc.title	A Compact Formula for Rotations as Spin Matrix Polynomials	uk_UA
dc.type	Article	uk_UA
dc.status	published earlier	uk_UA